x^3y^{'''}-2x^2y^{''}+13xy^'-13y=0

Lösung

x^{3} y^{^{'''}} - 2 x^{2} y^{^{''}} + 13 x y^{^{'}} - 13 y = 0

y = c_{1} x + x^{2} (c_{2} cos (3 ln (x)) + c_{3} sin (3 ln (x)))

Schritte zur Lösung

x^{3} y^{'''} (x) - 2 x^{2} y^{''} (x) + 13 x y^{'} (x) - 13 y = 0

Solve linear ODE:

y = c_{1} x + x^{2} (c_{2} cos (3 ln (x)) + c_{3} sin (3 ln (x)))

y = c_{1} x + x^{2} (c_{2} cos (3 ln (x)) + c_{3} sin (3 ln (x)))

a re a y = \frac{3}{x}, y = \frac{3}{x ^{2}}, x = 5

\int \frac{sec ^{2} ( x )}{tan ^{2} ( x ) - 1} d x

x \to 0 lim (csc (x) + cot (x))

t an g e n t f (x) = 2 x^{3} - 2 x^{2} + 8, (3, 44)

d er i v a t i v e y = (x - 1)^{\frac{3}{2}} + \frac{e ^{x - 2}}{2}